Question

Triangle ABC is equilateral with sides 10 cm long. Triangle DEF is formed by drawing lines parallel to, and 1 cm away from, the sides of triangle ABC as illustrated. Find the perimeter of triangle DEF.​

Answer 1

The perimeter of equilateral triangle DEF is 24 cm.

Triangle

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles, obtuse, scalene.

Given that triangle ABC is equilateral, also triangle DEF is equilateral.

DE = DF = EF = 10 - 1 - 1 = 8 cm

Perimeter of DEF = 8 + 8 + 8 = 24 cm

The perimeter of equilateral triangle DEF is 24 cm.

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